Results 1 to 10 of about 947,968 (27)
Smooth affine group schemes over the dual numbers [PDF]
We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj +1 more source
Periodic balanced binary triangles [PDF]
A binary triangle of size $n$ is a triangle of zeroes and ones, with $n$ rows, built with the same local rule as the standard Pascal triangle modulo $2$.
Jonathan Chappelon
doaj +1 more source
Smooth numbers in Beatty sequences [PDF]
An asymptotic formula is given for the number of y-smooth numbers up to x in a Beatty sequence corresponding to an irrational number of finite type.
arxiv
Enumerative Galois theory for number fields [PDF]
Recently Bhargava counted number fields with prescribed Galois group. We improve the bound in four specific cases.
arxiv
Invitation to higher local fields (Introduction) [PDF]
The monograph "Invitation to higher local fields" is the result of the conference on higher local fields held in Muenster, August 29 to September 5, 1999. The aim is to provide an introduction to higher local fields (more generally complete discrete valuation fields with arbitrary residue field) and render the main ideas of this theory (Part I), as ...
arxiv
Carlitz q-Bernoulli numbers and q-Stirling numbers [PDF]
In this paper we consider carlitz q-Bernoulli numbers and q-stirling numbers of the first and the second kind. From these numbers we derive many interesting formulae associated with q-Bernoulli numbers.
arxiv
q-Bernoulli numbers and Stirling numbers(2) [PDF]
In this paper we study q-Bernoulli numbers and polynomials related to q-Stirling numbers. From thsese studying we investigate some interesting q-stirling numbers' identities related to q-Bernoulli numbers.
arxiv
On the distance between perfect numbers [PDF]
It is shown that there exist infinitely many triangular numbers (congruent to 3 mod 12) which cannot be the distance between two perfect numbers.
arxiv
Rank 3 filtered $(\varphi,N)$-modules [PDF]
We classify 3-dimensional semistable Frob-semisimple representations of $G_{\mathbb{Q}_{p^{f}}}.$
arxiv